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B+ Tree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

B+ Tree Setup

B+ Tree Operations

Tree Visualization

(B+ Tree maintains balance with order = 3)

Operation Steps

How to Use

  1. Set Order: Choose tree order (3-5) and click "Set Order"
  2. Insert: Enter a value and click "Insert"
  3. Delete: Enter a value and click "Delete"
  4. Search: Enter a value and click "Search"
  5. Range Query: Enter start and end values, then click "Range Query"
  6. Random B+ Tree: Click to generate a random tree
  7. Reset: Click to clear the tree

B+ Tree Concept

B+ Tree is a self-balancing tree data structure that maintains sorted data and allows searches, insertions, and deletions in logarithmic time.

Key Properties:

  • All leaf nodes are at the same level
  • Internal nodes store keys for navigation
  • Leaf nodes store actual data values
  • Leaf nodes are linked for range queries
  • Order m: max m children per node

Applications

  • Database indexing
  • File system organization
  • Range query optimization
  • Sequential access patterns
  • Multi-level indexing

Strengths & Limitations

Strengths:

  • Always balanced
  • Efficient range queries
  • Good for sequential access
  • Optimal for disk-based storage

Limitations:

  • Complex implementation
  • Higher space overhead
  • More complex than simple BST

Time & Space Complexity

Operation Time Space
Insert O(log n) O(n)
Delete O(log n) O(n)
Search O(log n) O(n)
Range Query O(log n + k) O(n)

B+ Tree Code Implementation

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